中文摘要：

利用新的核函数对如下非线性椭圆型方程 △↓·（A（x）△↓y）＋q（x）f（y）=e（x）,x∈Ω 建立了若干新的振动准则，其中Ω是Rn中外区域。所得结果比现有的结论有更高的一般性，并得到解的零点分布的信息。

英文摘要：

By means of a new technique based on a class of functions H（r,s,l）, new oscillation criteria are established for the second order nonlinear elliptic differential equation △↓（A（x）△↓y）＋q（x）f（y）=e（x）,x∈Ω where Ω is an exterior domain in R^N. Our results have higher general than existing conclusions.Infor-matiabout the distribution of the zero of solutions is also obtained.